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In this paper, we investigate superintegrable systems which separate in parabolic coordinates and admit a third-order integral of motion. We give the corresponding determining equations and show that ...
Within a covariant Bethe-Salpeter approach, the relativistic complex separable neutron-proton interaction kernel is proposed. The uncoupled partial-wave states with the total angular momentum $J$=0,1 ...
Abstract: Using SU(2)X SU(2) Lie-group structure we obtain the algebraization of 2D harmonic oscillator model with complex quadratic coupling. It is shown that the original time-independent Schr\"odin...
Abstract: All of the PT-symmetric potentials that have been studied so far have been local. In this paper nonlocal PT-symmetric separable potentials of the form $V(x,y)=i\epsilon[U(x)U(y)-U(-x)U(-y)]$...
The exact dynamical equation for Efimov trimers in the short range limit of dimer resonances is derived via Yamaguchi separable potentials. This equation which overcomes the non-uniqueness prob-lem of...
The electronic states in the monolayer graphene with the short-range perturbation asymmetric with respect to the band index are analized. The study was made for the separable in the angular momentum ...
2007Vol.47No.2pp.193-199DOI: Functional Separable Solutions to Nonlinear Diffusion Equations by Group Foliation Method HU Jia-Yi,1,2,3 QU Chang-Zheng,1,2 and YIN Hui4 1 ...
2006Vol.45No.6pp.969-978DOI: Variable Separation and Exact Separable Solutions for Equations of Type uxt=A(u,ux)uxx+B(u,ux) ZHANG Shun-Li Center for Nonlinear Studies, D...
2003Vol.40No.4pp.401-406DOI: Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized KdV Equations ZHANG Shun-Li1,2 and LOU Sen-Yue1,3,4 ...
2005Vol.44No.4pp.589-596DOI: Classification and Functional Separable Solutions to Extended Nonlinear Wave Equations ZHANG Shun-Li,1,2,3 LOU Sen-Yue,3,4 QU Chang-Zheng,2 and YUE R...
2004Vol.41No.2pp.161-174DOI: Variable Separation and Derivative-Dependent Functional Separable Solutions to Generalized Nonlinear Wave Equations ZHANG Shun-Li1,2 and LOU Sen-Yue1,...

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